Membrane cone effect?
You can use the Screw and Decimate modifiers to create this shape and others like it.
First, add a Bezier Curve and shape it like the slope of that volcano-ish shape.

Next, exit Edit Mode and add a Screw modifier. You can leave all of the options as the default for now, though if you want, you can disable the Smooth Shading option. To better view the mesh, switch into Wireframe mode in the viewport.

Next, add a Subdivision Surface modifier and leave the options as default for now.

Technically, this works fine. However, in the image you showed, the topology has two perpendicular edge loops running diagonally, while right now we have edge loops running horizontally and vertically. To fix this, add a Decimate modifier, set the type to Un-Subdivide, and set the Iterations to 1.

Any of the above modifiers and/or curve can be tweaked to get the desired result. The most useful values would probably be the Steps in the Screw modifier, and the Subdivisions in the Subdivision Surface modifier.